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Finding the Fourth Proportional to 102,968.60, 142,086.26 and 57,643.64

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Solution

The fourth proportional to 102,968.60, 142,086.26 and 57,643.64 is: 79,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,968.60 : 142,086.26 = 57,643.64 : x
  2. Step 2: Convert to fraction form
    102,968.60/142,086.26 = 57,643.64/x
  3. Step 3: Cross multiply
    102,968.60x = 142,086.26 × 57,643.64
  4. Step 4: Simplify right side
    102,968.60x = 8,190,369,220.39
  5. Step 5: Solve for x
    x = 8,190,369,220.39/102,968.60
  6. Step 6: Final answer
    x = 79,542.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.